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Finding the Fourth Proportional to 1,828.67, 2,742.01 and 948.99

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Solution

The fourth proportional to 1,828.67, 2,742.01 and 948.99 is: 1,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.67 : 2,742.01 = 948.99 : x
  2. Step 2: Convert to fraction form
    1,828.67/2,742.01 = 948.99/x
  3. Step 3: Cross multiply
    1,828.67x = 2,742.01 × 948.99
  4. Step 4: Simplify right side
    1,828.67x = 2,602,126.36
  5. Step 5: Solve for x
    x = 2,602,126.36/1,828.67
  6. Step 6: Final answer
    x = 1,422.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.